94 research outputs found
Polar optical phonons in core-shell semiconductor nanowires
We obtain the the long-wavelength polar optical vibrational modes of
semiconductor core-shell nanowires by means of a phenomenological continuum
model. A basis for the space of solutions is derived, and by applying the
appropriate boundary conditions, the transcendental equations for the coupled
and uncoupled modes are attained. Our results are applied to the study of the
GaAs-GaP core-shell nanowire, for which we calculate numerically the polar
optical modes, analyzing the role of strain in the vibrational properties of
this nanosystem
Resonant hyper-Raman scattering in spherical quantum dots
A theoretical model of resonant hyper-Raman scattering by an ensemble of
spherical semiconductor quantum dots has been developed. The electronic
intermediate states are described as Wannier-Mott excitons in the framework of
the envelope function approximation. The optical polar vibrational modes of the
nanocrystallites (vibrons) and their interaction with the electronic system are
analized with the help of a continuum model satisfying both the mechanical and
electrostatic matching conditions at the interface. An explicit expression for
the hyper-Raman scattering efficiency is derived, which is valid for incident
two-photon energy close to the exciton resonances. The dipole selection rules
for optical transitions and Fr\"ohlich-like exciton-lattice interaction are
derived: It is shown that only exciton states with total angular momentum
and vibrational modes with angular momentum contribute to the
hyper-Raman scattering process. The associated exciton energies, wavefunctions,
and vibron frequencies have been obtained for spherical CdSe zincblende-type
nanocrystals, and the corresponding hyper-Raman scattering spectrum and
resonance profile are calculated. Their dependence on the dot radius and the
influence of the size distribution on them are also discussed.Comment: 12 pages REVTeX (two columns), 2 tables, 8 figure
Electron-phonon interaction in quantum-dot/quantum-well semiconductor heterostructures
Polar optical phonons are studied in the framework of the dielectric
continuum approach for a prototypical quantum-dot/quantum-well (QD/QW)
heterostructure, including the derivation of the electron-phonon interaction
Hamiltonian and a discussion of the effects of this interaction on the
electronic energy levels. The particular example of the CdS/HgS QD/QW is
addressed and the system is modelled according to the spherical geometry,
considering a core sphere of material "1" surrounded by a spherically
concentric layer of material "2", while the whole structure is embedded in a
host matrix assumed as an infinite dielectric medium. The strength of the
electron-LO phonon coupling is discussed in details and the polaronic
corrections to both ground state and excited state electron energy levels are
calculated. Interesting results concerning the dependence of polaronic
corrections with the QD/QW structure size are analyzed.Comment: 8 pages, 5 figure
Interface optical phonons in spheroidal dots: Raman selection rules
The contribution of interface phonons to the first order Raman scattering in
nanocrystals with non spherical geometry is analyzed. Interface optical phonons
in the spheroidal geometry are discussed and the corresponding Frohlich-like
electron-phonon interaction is reported in the framework of the dielectric
continuum approach. It is shown that the interface phonon modes are strongly
dependent on the nanocrystal geometry, particularly on the ellipsoid's
semi-axis ratio. The new Raman selection rules have revealed that solely
interface phonon modes with even angular momentum are allowed to contribute to
the first order phonon-assisted scattering of light. On this basis we are able
to give an explanation for the observed low frequency shoulders present in the
Raman cross-section of several II-VI semiconductor nanostructures.Comment: 8 pages, 2 figure
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